- #1

- 699

- 5

**x**

_{1}= column vector (2, 1)

**x**

_{2}= column vector (4, 3)

**x**

_{3}= column vector (7, -3)

Why must

**x**

_{1},

**x**

_{2}, and

**x**

_{3}be linearly dependent?

**x**

_{1}and

**x**

_{2}span R^2.

The basis are these two columns vectors: (3/2, -1/2), (-2, 1)

Since

**x**

_{1}and

**x**

_{2}form the basis,

**x**

_{3}can be written as a linear combination of these vectors.

Is that it? or correct?